Mixture and Alligation

1.		A trader has 88 kg of rice, a part of which he sells at 14% profit and the rest at 8% loss. On the whole, his loss is 4%. What is the quantity sold at 8% loss?

16 kg

72 kg

64 kg

78 kg

2.		A grocer buys two types of rice at Rs. 18 and Rs. 12 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs. 17.5 per kg, 25% may be gained?

2 : 1

3 : 2

2 : 3

1 : 2

3.		A dairy man pays Rs 64 per litre of milk. He adds water and sells the mixture at Rs 80 per litre thereby making a profit of 37.5%. Find the ratio of the water to milk in the sold product?

1 : 15

1 : 20

1 : 12

1 : 10

4.		Two bottles contains mixture of alcohol and water. First bottle contains 64% alcohol and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% alcohol?

3:2

2:1

1:2

2:3

5.		In a vessel, milk and water are mixed are in ratio 4 : 1 and in a second vessel, in the ratio 5 : 4. In what proportion these two mixtures are to be mixed to get a mixture containing milk and water in the ratio 2 : 1?

5 : 3

3 : 5

6 : 5

5 : 6

6.		An alloy contains 2 parts bronze and 3 parts copper. How much part of mixture should be drawn out and replaced with bronze so that the ratio of bronze to copper gets reversed in new mixture?

2/5

1/3

1/4

3/10

7.		A bucket contains 60 litres of pure wine, in which some quantity is drawn off and replaced with water. This process is repeated for two times. Find the quantity drawn off each time if the final ratio of wine to water is 81 : 19?

4 litres

6 litres

3 litres

5 litres

8.		150 gm of sugar solution has 30% sugar in it. Then the quantity of sugar that should be added to the solution to make the quantity of the sugar 70% in the solution, is?

250 gms

240 gms

200 gms

300 gms

9.		A tea merchant buys a kind of tea at Rs 8 per kg and he mixes it with another kind of tea at Rs 28 per kg. In what proportion must he mix the two kinds of teas so that the mixture is sold at Rs 23 per kg to gain 15%?

2:1

3:2

1:2

2:3

10.		A 60 litres vessel full of orange juice contains 40% orange pulp. A part of juice is replaced by another juice containing 19% orange pulp and now the percentage of orange pulp is found to be 26%. What quantity of juice is replaced?

26 litres

40 litres

36 litres

24 litres